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Finding the Fourth Proportional to 3,846.32, 5,734.30 and 3,557.36

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Solution

The fourth proportional to 3,846.32, 5,734.30 and 3,557.36 is: 5,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.32 : 5,734.30 = 3,557.36 : x
  2. Step 2: Convert to fraction form
    3,846.32/5,734.30 = 3,557.36/x
  3. Step 3: Cross multiply
    3,846.32x = 5,734.30 × 3,557.36
  4. Step 4: Simplify right side
    3,846.32x = 20,398,969.45
  5. Step 5: Solve for x
    x = 20,398,969.45/3,846.32
  6. Step 6: Final answer
    x = 5,303.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.